Quantized motion of three two-dimensional electrons in a strong magnetic field

Phys. Rev. B 27, 3383 – Published 15 March 1983
R. B. Laughlin

Abstract

We have found a simple, exact solution of the Schrödinger equation for three two-dimensional electrons in a strong magnetic field, given the assumption that they lie in a single Landau level. We find that the interelectronic spacing has characteristic values, not dependent on the form of the interaction, which change discontinuously as pressure is applied, and that the system has characteristic excitation energies of approximately 0.03e2a0, where a0 is the magnetic length.

DOI: http://dx.doi.org/10.1103/PhysRevB.27.3383

  • Received 19 August 1982
  • Published in the issue dated 15 March 1983

© 1983 The American Physical Society

Authors & Affiliations

R. B. Laughlin

  • University of California, Lawrence Livermore National Laboratory, Livermore, California 94550

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